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sci.polymer-viscosity-Mark-Houwink Calculator
Calculates viscosity-average molecular weight M_v from intrinsic viscosity using the Mark-Houwink equation: [η] = K × M_v^a. For PS in toluene at 25 °C: K = 1.16 × 10⁻⁴ dL/g, a = 0.735 — M_v lies between M_n and M_w, often close to M_w for narrow distributions.
Inputs
Mv Da
Fluid resistance to flow. Water at 20°C: ~1 cP. Honey: 2,000–10,000 cP. Higher viscosity increases pumping power requirements.
K Const
Reference formula or conversion factor shown for context.
A Exp
Reference formula or conversion factor shown for context.
Results
intrinsic viscosity [η] (mL/g)
Sample size or count used in the calculation.
[η] (L/g)
Reference formula or conversion factor shown for context.
[η] = K·Mᵛa
Reference formula or conversion factor shown for context.
exponent a interpretation
Qualitative summary of what the computed numbers mean in practical terms.
radius of gyration Rg estimate (nm)
The computed radius -- half the diameter.
Mv vs Mw
Reference formula or conversion factor shown for context.